Q2. The jobs are first processed on server 1 with an exponential rate of and then...
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Q2. The jobs are first processed on server 1 with an exponential rate of and then on server 2 with an exponential rate of . fixtures waiting for jobs jobs waiting for fixtures c) n Server 1 a) Draw a part of the transition diagram to show the transitions emanating from a typical state. n b) Draw a part of the transition diagram to show the transitions ending in a typical state. Server 2 (i) Give the steady-state balance equation for a typical state. (ii) Give formulations of the following steady-state performance measures in terms of the steady-state probabilities P(nf.n.nz). expected number of customers at server 1 (including the customers waiting in line to be processed at server 1) expected number of customers at server 2 (including the customers waiting in line to be processed at server 2) expected number of backorders expected number of idle fixtures expected percent utilization of the fixtures e) In order to answer the numerical questions in parts (f), (g) and (h), truncate the state space assuming that n B. In this case, the maximum number of backorders allowed in the system is equal to [B]. A job that arrives when there are [B] backorders in the system would be lost. (i) Give the truncated state space and revise your answer for part (c). (ii) What is the ergodic structure of the chain when the number of backorders is limited (B Q2. The jobs are first processed on server 1 with an exponential rate of and then on server 2 with an exponential rate of . fixtures waiting for jobs jobs waiting for fixtures c) n Server 1 a) Draw a part of the transition diagram to show the transitions emanating from a typical state. n b) Draw a part of the transition diagram to show the transitions ending in a typical state. Server 2 (i) Give the steady-state balance equation for a typical state. (ii) Give formulations of the following steady-state performance measures in terms of the steady-state probabilities P(nf.n.nz). expected number of customers at server 1 (including the customers waiting in line to be processed at server 1) expected number of customers at server 2 (including the customers waiting in line to be processed at server 2) expected number of backorders expected number of idle fixtures expected percent utilization of the fixtures e) In order to answer the numerical questions in parts (f), (g) and (h), truncate the state space assuming that n B. In this case, the maximum number of backorders allowed in the system is equal to [B]. A job that arrives when there are [B] backorders in the system would be lost. (i) Give the truncated state space and revise your answer for part (c). (ii) What is the ergodic structure of the chain when the number of backorders is limited (B Q2. The jobs are first processed on server 1 with an exponential rate of and then on server 2 with an exponential rate of . fixtures waiting for jobs jobs waiting for fixtures c) n Server 1 a) Draw a part of the transition diagram to show the transitions emanating from a typical state. n b) Draw a part of the transition diagram to show the transitions ending in a typical state. Server 2 (i) Give the steady-state balance equation for a typical state. (ii) Give formulations of the following steady-state performance measures in terms of the steady-state probabilities P(nf.n.nz). expected number of customers at server 1 (including the customers waiting in line to be processed at server 1) expected number of customers at server 2 (including the customers waiting in line to be processed at server 2) expected number of backorders expected number of idle fixtures expected percent utilization of the fixtures e) In order to answer the numerical questions in parts (f), (g) and (h), truncate the state space assuming that n B. In this case, the maximum number of backorders allowed in the system is equal to [B]. A job that arrives when there are [B] backorders in the system would be lost. (i) Give the truncated state space and revise your answer for part (c). (ii) What is the ergodic structure of the chain when the number of backorders is limited (B
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Related Book For
Practical Management Science
ISBN: 978-1305250901
5th edition
Authors: Wayne L. Winston, Christian Albright
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