Queueing Theory 2

Index

A, B

• ALM distributions, 117–119, 123
• batch Markovian arrival process, 34, 40, 205
• busy period, 33, 34, 40, 61–63, 65, 223, 248, 279, 299

C, D

• characterization of distributions, 89, 97, 99, 101, 111
• closed-forms, 269–271, 277, 282, 293, 301, 302
• consistency axioms, 171, 173, 174, 177, 178, 195, 196
• counting processes, 16, 127
• distribution, 34–37, 50, 60–63, 75, 81–83, 87–89, 94, 96–99, 107, 109, 112–117, 119, 122, 124, 127, 132, 171, 174, 183, 195–198, 204, 206, 211, 212, 215, 223, 225, 269–272, 275, 293
  • generalized exponential (GE), 171, 172, 172

E, F

• embedded Markov chain (EMC), 195, 271, 274
• equilibrium strategy, 141, 143, 145, 147, 154, 156, 160, 161, 165
• exponential distribution, 84, 88, 89, 94, 95–97, 99, 101, 104, 107–110, 114, 115
• failure rate, 82, 83, 120, 121, 125, 127–132
• formalism
  • extensive maximum entropy (EME), 171–178, 195, 197, 198

G, H, I

• geometric distribution, 83, 88, 89, 91–93, 111, 116, 117, 123, 125
• hazard rate, 120
• heterogeneously observable system, 139, 152, 158, 159, 161, 165
• information
  • control, 137, 138
  • structure, 137, 152
  • theory, 172

L, M

• long-range interactions, 171–174, 176, 177, 179, 189, 195, 198
• Markovian queueing models, 271, 302
• matrix-analytic methods, 172, 213
• monopolist’s optimal strategy, 143, 144, 147, 149, 155

N, P

• non-extensive maximum entropy (NME) formalisms, 171, 172
• non-stationary Poisson processes, 126
• periodic
  • environment, 131
  • failure rates, 128, 129
  • random environment, 125, 126
• phase-type, ...