03489nam 2200541Ia 450 991095967120332120251116181605.01-60876-533-4(CKB)2550000001041384(EBL)3018561(SSID)ssj0000835952(PQKBManifestationID)11457660(PQKBTitleCode)TC0000835952(PQKBWorkID)10996881(PQKB)10486609(MiAaPQ)EBC3018561(Au-PeEL)EBL3018561(CaPaEBR)ebr10660422(OCoLC)844348510(BIP)23681228(EXLCZ)99255000000104138420090709d2009 uy 0engur|n|---|||||txtccrProbabilistic models in operations research /Silviu Guiasu1st ed.New York Nova Science Publishersc20091 online resource (300 p.)Description based upon print version of record.1-60692-233-5 Includes bibliographical references (p. 286-288) and index.Intro -- PROBABILISTIC MODELS INOPERATIONS RESEARCH -- PROBABILISTIC MODELS INOPERATIONS RESEARCH -- Contents -- INTRODUCTION -- Chapter 1. GAME THEORY -- ABSTRACT -- 1. Generalities -- 2. Pure strategies -- 3. Mixed strategies -- 4. Graphical method -- 5. Brown's algorithm -- 6. The linear programs induced by a two-person zero-sum game -- 7. Computer tips -- 1. LINDO. -- 2. SAS-OR. -- 3. EXCEL. -- 4. MATHEMATICA. -- 8. Prisoner's dilemma -- 9. n-person games -- Chapter 2. DECISION THEORY -- ABSTRACT -- 1. Generalities -- 2. Oil-drilling example -- 3. Decision without experimentation -- 4. Decision with experimentation -- 5. Risk function -- 6. Computer tips -- 1 FORTRAN. -- 2. MATHEMATICA. -- 7. Multiple-stage decision -- A variant of the decision tree problem. -- Chapter 3. SIMULATION -- ABSTRACT -- 1. Generalities -- 2. Minitab -- 3. Random numbers -- 4. Sampling from discrete probability distributions -- 5. Sampling from continuous probability distributions -- 6. Monte Carlo method -- Chapter 4. RELIABILITY -- ABSTRACT -- 1. Structure function -- 2. Exact reliability -- 3. Bounds for reliability -- 4. Lifetime -- Chapter 5. QUEUEING SYSTEMS -- ABSTRACT -- 1. Generalities -- 2. Steady state condition -- 3. M=M=1 with constant mean arrival rate and constant meanservice rate -- 4. M=M=s with constant mean arrival rate and constant meanservice rate per busy server -- 5. Waiting time -- 6. Finite queue -- 7. Finite input source -- 8. Other queueing systems -- 9. Number of arrivals during the time-interval [0 -- t] -- 10. Computer tips -- 11. Simulation -- APPENDIX -- The dual theorem -- References -- Index.Operations Research, often abbreviated as OR, is a branch of Applied Mathematics. Its aim is to optimise mathematical models of reality involving probabilistic uncertainty and its results are applied to real life problems. This book intends to cover the main chapter of the OR probablisitc models based on optimisation.Operations researchProbabilitiesOperations research.Probabilities.Guiasu Silviu26318MiAaPQMiAaPQMiAaPQBOOK9910959671203321Probabilistic models in operations research4481243UNINA