iosr-Jm   Volume-5 ~ Issue-1

Abstract: Chain sampling plan for marshall olkin extended exponential distribution when the life-test is truncated at a pre-specified time are provided in this manuscript. The design parameters such as the minimum sample size and the acceptance number are obtained by satisfying the producer's and consumer's risks at the specified quality levels, under the assumption that the termination time and the number of items are pre-fixed.
Keywords: Truncated life test, Marshall olkin extended exponential distribution, Operating characteristics, Consumer's risk, Producer's risk.

[1] Baklizi,a. and El Masri,A.E.K. (2004), "Acceptance sampling plans based on truncated life tests in the Birnbaum Saunders mode l",
Risk Analysis, vol.24,1453-1457.
[2] Baklizi,a. (2003), "Acceptance sampling plans based on truncated life tests in the Pareto distribution of second kind ", Advances and
Applications in Statistics, vol.3,33-48.
[3] Balakrishnan, N., Leiva,V. and Lopez, J. (2007), "Acceptance sampling plans from truncated life tests based on generalized Birnbaum
Saunders distribution", communications in statistics – simulation and computation, vol.36,643-656.
[4] Dodge,H.F.(1955): Chain Sampling Plan.
[5] Gupta,S.S. and Groll,P.A. (1961), "Gamma distribution in acceptance sampling based on life tests",Journal of the American Statistical
Association,vol.56,942-970.
[6] Srinivasa Rao (2010), "Group acceptance sampling plans based on truncated life tests for Marshall – olkin extended Lomax
distribution",Electronic journal of Applied Statistical Analysis, Vol.3,Isse 1 (2010),18-27.
[7] Srinivasa Rao (2010), "Double acceptance sampling plans based on truncated life tests for Marshall – olkin extended exponential
distribution",Austrian journal of Statistics , Vol.40, (2011),Number 3, 169-176.
[8] Srinivasa Rao (2009), "Reliability test plans for Marshall – olkin extended exponential distribution",Applied Mathematical Sciences ,
Vol.3, (2009),Number 55, 2745-2755.

Abstract: The aim of the present paper is to study some new unified integral formulas associated with the H which was introduced by Inayat Hussain. In this paper we evaluated finite double integral involving H function with general arguments and new finite integral of Generalized Mellin- Barnes Type of contour integrals. . These formulas are unified in nature and act as the key formulas from which we can obtain as their special cases.
Keywords: Multiple Finite Difference Methods, Second Order, Boundary Value Problem, Block Methods, Multistep Methods

[1] A .A. Inayat - Hussain , New properties of hypergeometric series derivable from Feynman integral: I Transformation and reeducation formulae , J . Phys . A: Math. Gen .20, 4109 – 4117, 1987
[2] Erde'lyi. Higher Trancendental Functions ,vol. 1 , McGraw Hill 1953 .
[3] Erde'lyi. Higher Trancendental Functions ,vol. II. 1 , McGraw Hill 1953a
[4] H.M.Srivastava and M. Garg ,Some integrals involving a general class of polynomials and the multivariable Hfunction,
Rev.Rouinaine Phys.,32, 685−692,1987
[5] H.M.Srivastava,A contour integral involving fox's H-function , Indian J. Math. 14, 1 −6,1972.
[6] K.C. Gupta , R . C. Soni , On a basic integral formula involving the product of the H- function and Fox H- function , J . Raj .Acad.
Phy. Sci. , 4 (3) , 157-164 ,2006
[7] Meijer , C. S., On the G- function , Proc. Nat . Acad . Wetensch ,49, p.227,1946.
[8] Oberhettinger F, Tables of Mellin transforms (Berlin , Heidelberg , New York: Springer-Verlag),p.22,1974.
[9] Pandey ,Neelam . A Study of Generalized Hypergeometric Functions and its Applications. Ph. D. Thesis , A . P. S. University , Rewa ( M .P.) 2002.
[10] Raiville , E. D.,Special Function , Macmillan and Co. N.Y. 1967.

Abstract: The aim of this paper is to introduce the concept of Intimate mapping in metric space and prove a lemma and a common fixed point theorem for six mappings with Intimate mappings.
Keywords:Intimate mapping

[1] Cho, Y.J. Fixed points for compatible mapping of type (A). Math. Japan., 38, (1993), 497-508.
[2] Jungck,G [a] Commuting maps and fixed points, Amer. Math. Monthly, 83 , (1976), 261.
[3] Compatible mappings and common fixed Points (2), Internal. J. Math, and Math. Sci. 11,(1988), 285-288.
[4] Jungck, G., Murthy, P.P. and Cho Compatible mappings of type(A) and common fixed point. Math. Japonica, 38(2), (1993) , 381-
390.
[5] Math. and Math. Sci., 13, (1990), 61-66.
[6] Lohani, P.C. and Badshah, V.H. Compatible mappings and common fixed point for four mappings,
[7] Bull cal Math.Soc., 90, (1998), 301-308.
[8] Murthy, P. P. , Chang, S. S. , Cho, Y. J. and Sharma, B. K Compatible mappings of type (A) and common fixed point theorems.
Kyungpook Math. J., 32 ,(1992), 203-216.
[9] Pathak, H.K. Weak commuting mappings and fixed points. Indian J. Pure Appl. Math., 17 (2), (1986), 201-212.
[10] Prasad, D. Common fixed point mapping in a uniformly convex Banach Space with a new functional inequality. Indian J. Pure
Appl. Math., 15 (2), (1984), 115-120.

Abstract: An analysis of unsteady MHD flow of an electrically conducting visco-elastic fluid confined between two horizontal parallel non conducting plates in presence of a transverse magnetic field and Hall current is presented. The lower plate is a stretching sheet while the upper one is an oscillating porous plate, which is oscillating in its own plane. The motion of the fluid is produced by the stretching of the lower plate. A constant suction is applied at the upper plate and the stretching velocity is taken to be a linear function of distance along the channel. The equations governing the flow field are solved by perturbation technique. Expressions for velocity distribution of the flow field and non-dimensional skin-friction coefficient are obtained and presented graphically to observe the visco-elastic effect in combination of other flow parameters involved in the solution. The flow field is observed to be considerably affected by the visco-elastic parameter.
Keywords: Hall current, MHD, Oscillating porous plate, Perturbation technique, Stretching sheet, Suction parameter, Visco-elastic

[1] A. K. Borkakoti, A.Bharali, Hydro Magnetic Flow and Heat Transfer between Two Horizontal, the Lower Plate Being a Stretching
Sheet, Quart. Appl. Math, 40 (4), 1982, 461-467.
[2] T. C. Chiam, Micro Polar Fluid Flow over a Stretching Sheet, ZAMM, 62 (10), 1982, 565-568.
[3] K. R Rajagopal, Y. T. Na, A. S. Gupta, Flow of a Viscoelastic Fluid over Stretching Sheet, Rheol. Avta, 23 (2), 1984, 213-215
[4] R. S. Agarwal, R. Bhargava, A.V. S. Balaji, Finite Element Solution of Flow and Heat Transfer of a Micro Polar Fluid over a
Stretching Sheet, Int. J. Engg. Sci., 27 (11), 1989, 1421-1428.
[5] H. I. Anderson, MHD Flow of Viscoelastic Vluid Past a Stretching Surface, Acta Mech., 95 (1-4), 1992, 227-230.
[6] H. I. Anderson, K. H. Bech, B. S. Dandapat, Magnetohydrodynamics Flow of a Power Law Fluid over a Stretching Sheet, Int. J.
Non-Linear Mechanics, 27 (6), 1992, 929-936.
[7] M. I. Char, Heat and Mass Transfer in a Hydromagnetic Flow of the Visco-elastic Fluid over a Stretching Sheet, J. Math, Anal.
Appl., 186, 1994, 647-689.
[8] D. S. Chaun, Coupled Stretching Flow through a Channel Bounded by a Naturally Permeable Bed, Modeling, Measu. And Control
ASME Press, 47 (4), 1993, 55-64.
[9] H.S. Takhar, G. Nath, Unsteady Flow over a Stretching Surface with a Magnetic Field in a Rotating Fluid, ZAMP, 49 (6), 1998,
989-1001.
[10] M. Kumari, H. S. Takhar, G. Nath, Analytical Solution of Boundary Layer Equation over a Stretching Sheet with Mass Transfer,
Proc. Nat. Acad. Sci. India, 69A III (1999), 355- 372.

Abstract: Solution of polynomial plays fundamental role in the solution of characteristics differential equation to many physical problems. It has been found that Galois Theory can be used to determine the solvability of polynomials over a field by radicals. That is ''if a polynomial is solvable by radicals, then the automorphism group of its splitting field must be a solvable group.'' Field theory is connected with Group theory.
Keywords: solvable group, field, polynomial, radicals.

[1] Fraleigh, John 2003: A first Course in Abstract Algebrs, Addison Wesely Publishing Co. Inc. United States of America.
[2] Hungerfor, W. Thomas, 1990 Abstract Algebra, An Introductionsaunders college Publishing, clevelard state University.
[3] J.S Milne,2011 Fields and Galois Theory, New Zealand
[4] 4.Surjeet Singh, QaziZameeruddinModernAlgebraVikas Publishing House PVT LTD New Delhi

Abstract: In the present paper the authors will establish a double integral transform of Fox's H -function which leads to yet another interesting process of augmenting the parameters in the H -function. The result is of general character and on specializing the parameters suitably, yields several interesting results as particular cases.
Keywords: H -function, Euler Transformation, Hypergeometric Function, Integral Transformation.(2000 Mathematics subject classification: 33C99)

[1] Abdul-Halim,N. and Al-Salam, W.A.; Double Euler transformation of certain hypergeometric functions, Duke Math. J., 30(1963),
51-62.
[2] Edwards, J.; A Treatise on Integral Calculus, Chelsea, New York (1954).
[3] Erdelyi, A. et. al. ; Higher Transcendental Functions, vol. I, McGraw-Hill, New York (1953).
[4] Fox, C.; The G and H function as symmetric Fourier kernels Trans. Amer. Math. Soc. 98 , 1961 , 395-429.
[5] Gautam, A.N.: On the A -function, Vijnana Parishad Anusandhan Patrika, vol. 23(4),(1981), 77-81.
[6] Jain, R.N.; Some double integral transformations of certain hypergeometric functions, Math. Japon, 10(1965), 17-26.
[7] Rainville, E.D.; Special Functions, Macmillan, New York (1960).
[8] Singh, R.P.; A note on double transformation of certain hypergeometric functions, Proc. Edinburgh. Math. Soc. (2),1491965), 221-
227.
[9] Saxena, R.K.; Some theorems on generalized Laplace transforms, Proc. Nat. Inst. Sc. India, 26 A(1960), 400-413.
[10] Srivastava, H.M. and Singhal, J.P.; Double Meijer's transformation of certain hypergeometric functions, Proc. Camb. Phil. Soc.
64(1968).

Abstract: The fractional Hankel transform which is a generalization of the Hankel transform has many applications. In this paper we establish the initial and final value theorem for the generalized fractional Hankel transform.
Keywords: Fourier transform, Hankel transform, fractional Hankel transform.

[1] Namias V., The fractional order Fourier transform and its application to quantum mechanics, J. Inst. Math. Appl.,Vol. 25, 241-265,
(1980).
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[3] Fange,daomu Zhao and Shaomi Wang, Fractional Hankel transform and the diffraction of misaligned optical systems, J. of Modern
optics,Vol. 52, No.1, 61-71,(2005).
[4] Ozaktas H. M., Zalvesky Z., Kuntay M. Alper, The fractional Fourier transform with applications in optics and signal processing
(Pub. John Wiley and Sons. Ltd, 2001).
[5] Kerr F. H., A fractional power of Hankel transform, Int. J. Math. Ana. and app., Vol. 158, 114-123, (1991).
[6] Taywade R. D., Gudadhe A. S., Mahalle V. N., On generalzed fractional Hankel transform, Int. J. of Math. Ana., Vol. 6, no. 17–20,
(2012).
[7] Taywade R. D., Gudadhe A. S., Mahalle V. N., Inversion of fractional Hankel transform in the Zemanian space, Proc. ICBEST, Int. J. Comp. App., 31-34, (2012).
[8] Chaudhary M. S. and Thorat S.P., Abelian theorem related to the Hankel type transformation, J. Indian Acad. Math. Vol. 21, no. 1, 21 29, (1999).
[9] Bateman Harry, Tables of integral transforms,Vol.II (MacGraw-Hill book company Inc., New York. 1954).

Abstract: In this paper, an algorithmic approach is developed to solve the combinatorial part of DNA sequencing by hybridization using graph theoretical concepts. It is assumed here, that the spectrum is ideal one and fragments are of equal length. The goal is to reconstruct the DNA molecule based on the fragments overlap. Suitable examples are also provided to justify the algorithm.
Keywords: DNA sequencing, fragment, spectrum, SCS problem, SBH problem, TSP problem, overlap matrix, parenthetical tree.

[1] M. Kasprzak, On the link between DNA sequencing and graph theory, Computational Methods in Science and Technology, 10(2004), 39-47.
[2] J. Blazewicz and M. Kasprzak, Complexity of DNA sequencing by hybridization, Theorical Computer Science, 290(2003), 1459-
1473.
[3] P.A. Pevzner, Computational Molecular Biology: an Algorithmic Approach, MIT Press, Cambridge, 2000.
[4] J. Setubal and J. Meidanis, Introduction to Computational Molecular Biology, PWS Publishing Company, Boston, 1997.
[5] M.S. Waterman, Introduction to Computational Biology, Maps, Sequences and Genomes, Chapman and Hall, London, 1995.
[6] M. Dyer, A. Frieze and S. Suen, The probability of unique solution of sequencing by hybridization, Journal of Computational
Biology, 1(1994), 105-110.
[7] P.A. Pevzner and R.J. Lipshutz, Towards DNA sequencing chips, Lecture Notes in Computer Science, 841(1994), 143-158.
[8] E.M. Southern, U. Maskos, and J. K. Elder, Analyzing and comparing nucleic acid sequences by hybridization to array of
oligonucleotides: Evaluation using experimental models, Genomics, 13(1992), 1008-1017.
[9] P.A. Pevzner, l-tuple DNA squencing: computer analysis, Journal of Biomolecular, Structure and Dynamics, 7(1989), 63-73.
[10] J.D. Watson, F.H.C. Crick, A structure for deoxyribose nucleic Acid, Nature, 173 (1953), 737-738.
[11] S. Mneimneh, DNA sequencing and the shortest superstring problem, Lecture 15: Computational Biology (Retrived from
www.cs.hunter.cuny.edu/~saad/courses/.../lectures/lecture15.pdf).
[12] Chapter 3: Reconstructing DNA (Retrived from www.liacs.nl/~hoogeboo/mcb/mapp.pdf).
[13] Trajkovski, Lecture 3: DNA sequencing, a power point presentation (Retrived from
www.time.mk/trajkovski/teaching/eurm/bio/lecture3.pdf).

Abstract: In this paper, the authors introduce and study the concept of a new class of closed sets called weakly generalized   closed sets (briefly   closed set). Also we investigate some of their properties
Keywords - g -closed set, gs-closed set, αg-closed set,wg-closed

[1] Levine.N, Semi-open sets and semi-continuity in topological spaces, Amer.Math.Monthly, 70 (1963),36 - 41
[2] H.Maki, R.Devi and K.Balachandran , Generalized  -closed sets in topology,Bull .Fukuoka Uni..Ed.Part III,42(1993), 13-21
[3] Njastad.O, On some classes of nearly open sets, Pacific J.Math., , 15 (1965), 961-970.
[4] Andrijevic.D, Semi-preopen sets, Mat. Vesink, 38(1986), 24 – 32
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[6] P.Bhattacharyya and B.K.Lahiri, Semi generalized closed sets in topology, Indian J. Math. , 29 (1987),375-382.
[7] S.P. Arya and Nour, Characterizations of s- normal spaces Indian J. Pure Appl. Math., 29 (1990), 717-719.A
[8] H.Maki, R.Devi, and K.Balachandran, Associated topologies of generalized closed sets and  -generalized closed
sets,Mem.Fac.Sci.Kochi.Univ.Ser.A.Math.,15(1994),51-63.
[9] J.Dontchev, On generalizing semi-preopen sets, Mem.Fac.Sci.Kochi.Ser.A, Mat.,h16(1995), 35-38.
[10] G.Dimaio and T.Noiri,On s-closed spaces,IndianJ.Pure appl.math, 18 (3) (1987),226 -233.
[11] N.Nagaveni,Studies on generalized on homeomorphisms in topological spaces, Bharatiar University,Coimbatore ,India 1999.
[12] Y.Gnanambal,Studies on generalised pre-regular closed sets and generalizations of locally closed sets, Bharatiar University,
Coimbatore,India 1998.
[13] T.M.Nour , Totally semicontinuous functions, IndianJ.Pure Appl.Math.26(7): 675-678,July (1995).

Abstract: The paper investigates isentropic fluid flow over a moving plate with impact of heat and momentum transfer into consideration. The outcome equations are solved analytically using perturbation technique. Velocity, temperature and concentration profiles are achieved, as well as effect of Grashof and modified Grashof numbers on skin friction. Some of the important results seen are that increase in radiation parameter decreases the real temperature and increase in reaction parameter leads to decrease in concentration.
Keywords - Heat transfer, momentum transfer, isentropic

[1]. (Anco, S.C. & Dar, A. 2009). Classification and Conservation Laws in fluid flow.
[2]. Hossain, M.A. and Mandal, C.A. ―Effect of Mass Transfer and free convection on the unsteady MHD flow past a vertical porous plate with variable suction‖. IC/84/192 International centre for Theoretical Physics, Triestile, Italy Publications, 1984.
[3]. Isreal-Cookey, C. and Sigalo, F.B.,(2002). ―On the unsteady MHD free – convection flow past semi – infinite heated porous vertical plate with time dependent suction and radiative heat transfer‖.
[4]. Kai – long, H., (2010). Heat and Mass transfer for a viscous flow with radiation effect past a non linear stretching sheet. World
Academic Sci. Eng. Technology, 62(3): 320—330.
[5]. Muthucumaraswamy, R. and G.K. Senthil,( 2004). Heat and mass effects on moving vertical plate in the presence of thermal radiation. Int. J. Appl. Theoretical Mec., 17(20): 801-820.
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[7]. Uwanta I.J. and Omokhuale (2012.) Viscoelastic fluid flow in a fixed plane with Heat and Mass Transfer Res. J. Math. Stat., 4(3): 63- 69. .

Abstract: In this paper we study as Oscillatory two dimensional magnetopolar free convection flow through a porous medium with combined heat and mass transfer and thermal radiation in slip flow regime. The permeability and suction velocity are assumed to be time dependent. Using perturbation technique expressions for velocity (u), angular velocity (), temperature (), concentration (C), skin friction (Cf ) and Nusselt number (Nu) are obtained and a comparative study is made to analyze the effects of different parameters. We notice that as we increase permeability parameter (K) skin friction falls in the beginning but rises as we move away from the plate. Moreover, for both the basic fluids air (Pr = 0.71, Sc = 0.22) and water (Pr = 7, Sc = 0.61), velocity increases on decreasing the slip at the boundary.
Keywords - Heat flux, Mass flux, Polar fluid, Radiation, Unsteady.

[1] Das and R. Das, MHD free convection flow near a moving plate in presence of thermal radiation, An analytic solution, Moldavian
Journal of Physics and Science, 8, 2009, 3-4.
[2] P. Singh and C.B. Gupta, MHD free convection flow of a viscous fluid through a porous medium bounded by an oscillating porous
plate in slip flow regime with mass transfer, Indian Journal of Theoretical Physics, 53 (2), 2005, 111-120.
[3] S. Ahmed, Effects of unsteady free convection MHD flow through a porous medium bounded by an infinite vertical porous plate,
Bulletin of Calcutta Mathematical Society, 99 (5), 2007, 511-522.
[4] P.K. Sahoo, N. Datta and S. Biswal, Magnetohydro dynamic unsteady free convection flow past an infinite vertical plate with
constant suction and heat sink, Indian Journal of Pure and Applied Mathematics, 34 (1), 2003, 145-155.
[5] C.I. Cookey, A. Ogulu and V.M. Omubo-Pepple, Influence of viscous dissipation and radiation on unsteady MHD free convection
flow past an infinite heated vertical plate in a porous medium with time dependent suction, International Journal of Heat and Mass
Transfer, 46, 2003, 2305-2311.
[6] E.M. Aboeldahab and G.E.D.A. Azzam, Unsteady three dimensional combined heat and mass transfer for convective flow over a
stretching surface with time dependent chemical reaction, Acta Mechenica, 184, 2006, 121-136.
[7] E. Magyari, I. Pop and B. Keller, Analytic solution for unsteady free convection in porous media, Journal of Engineering
Mathematics, 48, 2004, 93-104.
[8] C. Geindreau and L. Auriault, Magnetohydrodynamic flows in porous media. Journal of fluid mechanics, 466, 2002, 343-363.
[9] S. Ahmed and N. Ahmed, Oscillatory three dimensional flow through a porous medium with viscous dissipative heat, International
Journal of Applied Mathematics, 21 (3), 2008, 419-434.
[10] S. Ahmed and N. Ahmed, Two dimensional MHD Oscillatory flow along a uniformly moving infinite vertical porous plate bounded
by a porous medium, Indian Journal of Pure and Applied Mathematics, 35 (12), 2004, 1309-1319.

Abstract: Sessa [14], initiated the tradition of improving commutativity conditions in metrical common fixed point theorems. While doing so Sessa [14] introduced the notion of weak commutativity. Motivated by Sessa [14], Jungck [8] generalized the concept of weak commuting by defining the term compatible mappings and proved that the weakly commuting mappings are compatible but the converse is not true Jungck and Rhoades [7] introduced the notion of weakly compatible mappings, which is weaker than compatibility.......
Keywords - Complete metric spaces, fixed points, compatible mapping, weak compatible mapping.

[1]. B. Fisher., "Mappings satisfying on fixed points", Bull. Cal. Math. Soc., 60 (1968), 71-76.
[2]. B. Fisher, "Common fixed point and constant mapping satisfying a rational inequality", Math. Sem. Notes., 6 (1978), 29-35.
[3]. B. Fisher., "Mapping satisfying rational inequality", Nanta. Math., 12 (1979), 195-199.
[4]. Lj. Gajic., "On common fixed point of compatible mappings of type (A) on metric and 2-metric spaces", Filomat (Nis)., 10 (1996), 177-186.
[5]. A. K. Goyal, "Common fixed point theorem for six mappings in complete metric spaces", Bull. Pure Appl. Math., 3 (1), 24–35, 2009.

Abstract: It is possible to think of algebra as the language of mathematics, and it plays a significant part in determining whether or not pupils are able to follow a diverse range of educational paths in today's culture. Because of this, it could seem to be common sense that algebra should play a significant part in mathematics. H owever, investigations based on data from a number of large scale international studies have indicated that there are significant discrepancies across nations in terms of algebra. Algebra plays a significant role in certain countries, whereas this is not t he case in other countries. It has been shown that these disparities remain constant across time and at various levels inside. This highlights and examines the ways in which these inequalities may impede upon individual rights and chances to pursue the edu cation that the person desires, as well as the ways in which this may impede upon societies' needs to recruit individuals to a variety of professions.

Keywords: Mathematical Usage, Algebra

[1]. L. BILLERA, Homology of smooth splines: Generic triangulations and a conjecture of Strang, Trans. Amer. Math. Soc. 310 ( 2013 ),
325 40.
[2]. A. M. COHEN, H. CUYPERS, and H. STERK (eds.), Some Tapas of Computer Algebra, Spr inger Verlag, Berlin, Heidelberg, and
New York, 2013 .
[3]. J. S. COHEN, Computer Algebra and Symbolic Computation: Elementary Algorithms, A K Peters, Wellesley, MA, 2013 .
[4]. Computer Algebra and Symbolic Computation: Mathematical Methods, A K Peters, Wellesley, MA, 2013
[5]. D. COX, Curves, Surfaces, and Syzygies,.
[6]. D. COX, J. LITTLE, and D. O'SHEA, Using Algebraic Geometry, second ed., Springer Verlag, New York, Berlin, and Heidelberg,
2013 ..

Abstract: The present paper focuses on operation research and relevance in the revenue management of Hotel industry and how the circumstances of present scenario would be beneficial in enhancing the revenues. It is noted that dynamic pricing in hotel industry in long run helped the sector gaining profits in a consistent manner. Arguably, special offers further enhance occupancy. It is observed from the sources lowering of prices would not be benefitable in long run as it would burden the management in maintenance of the services.......

Keywords: Operation Research, Occupancy, Revenue management, Dynamic Pricing, Price variation, Technical Solutions, Customer demand.

[1]. Brotherton, B. and Mooney, S. (1992), "Revenue Management Progress and Prospects", International Journal of Hospitality Management, Vol. 11 No. 1. pp 23-32.
[2]. Jhao & Merna, 1996, Marketing challenges for Nex Decade,
[3]. Holjevac, 2003, A vision of tourism and the hotel industry in the 21st century, International Journal of Hospitality Management.
[4]. Kimes, S. (2002), "A Retrospective Commentary on Discounting in the Hotel Industry: A New Approach", Cornell Hotel and Restaurant Administration Quarterly, August, pp. 92-93.
[5]. McMahon-Beattie, U., Donaghy, K and Yeoman, J. (1999). "Revenue Management in Hotels". Is Constantinos, S. and Wood, R.C. (Eds.)..