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| 1. |
Ein mathematisches modell zur optimalregelung von versorgungssystemen |
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Mathematische Operationsforschung und Statistik,
Volume 5,
Issue 9,
1974,
Page 661-685
Norbert Sieber,
Hans-Jürgen Sebastial,
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摘要:
In different branches of economics-especially in the construction industry - supply systems are found, in which producers and consumers are connected by production and transport. By the occurrence of random or foreseeable perturbations an optimal control of the supply processes is appropriate. First directed graphs are assigned to special supply systems. On there graphs multistage decision processes are defined to yield an optimal control of the supply processes. The explicit representation of the perturbing quantities by parameters is decisive for optimal control. Next, an optimization problem is formulated, which includes as a special case the problem of optimal control of supply processes. This mathematical modelling and the solution of the optimization problems require some extensions of the known theory of multistage decision processes.
ISSN:0047-6277
DOI:10.1080/02331887408801193
出版商:Akademie-Verlag
年代:1974
数据来源: Taylor
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| 2. |
Die bedeutung von KINGMANS integralungleichnngen bei der approximation der statlonären wartezeitverteilung im modell gi/g/1 mit und ohne verzögerung beim beginn einer beschäftigungsperiode |
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Mathematische Operationsforschung und Statistik,
Volume 5,
Issue 9,
1974,
Page 687-699
H.J. Rossberg,
G. Siege,
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PDF (523KB)
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摘要:
We consider the stationary waiting-time distributionWinGI/G/1. KINGMAN [4] used two integral inequalities to obtain estimations forWabove and below. But he gave only one solution explicitely for each of them. We show that the inequalities possess a great methodological importance. By means of them we first get a result of DALEY-MORAN [1] which permits to find further solutions. But the very point is a methed resting on the inequalities to improve every solutions successively. Examples for the refinement of KINGMANS estimations are given in (1.11)-(1.13). - The method can be carried over to a generalization of GI/G/1 in which a custumer who finds the server idle is not served immediately but only after a randam "warming- up time".
ISSN:0047-6277
DOI:10.1080/02331887408801194
出版商:Akademie-Verlag
年代:1974
数据来源: Taylor
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| 3. |
Ein bedienungssystem (M/G/∞) mit zeitabhangigpr eingangsintensitat und bedienungszeitverteihmg |
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Mathematische Operationsforschung und Statistik,
Volume 5,
Issue 9,
1974,
Page 701-708
Bebistd Freyer,
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摘要:
In the present paper a service-system is considered which has an input intensity λ(t) and a distribution functionB (u, t)of the time, needed to serve a customer who arrived at momentu. The distribution of the number of units in use is calculated. For the mean value holds.
ISSN:0047-6277
DOI:10.1080/02331887408801195
出版商:Akademie-Verlag
年代:1974
数据来源: Taylor
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| 4. |
Qualitätsunterschiede bei wartemodellen vom typ g/g/1 |
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Mathematische Operationsforschung und Statistik,
Volume 5,
Issue 9,
1974,
Page 709-724
Reinhard Bergmann,
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PDF (674KB)
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摘要:
In the present paper the waiting system G/G/1 is investigated. We form the functionals (3.1) with the service-time distribution B or the inter arrival time distributionAorK(see (1.1)).By means of them it is possible to define a haif order relation of random variables or distributions functions, respectively. We consider rhree systems G/G/1 and estimate - with reference to this relations - the distributionsA, B, Kabove and below by the corre- sponding distribiitions of the two other systems considered as known. Then upper and lower bounds of the semiinvariants of the stationary waiting time (i e. the mean waiting time, variance etc.) of the given system are obtained.
ISSN:0047-6277
DOI:10.1080/02331887408801196
出版商:Akademie-Verlag
年代:1974
数据来源: Taylor
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