{"id":{"repo_id":"vt","oai_identifier":"oai:vtechworks.lib.vt.edu:10919/101407"},"canonical_url":"https://search.dev.ndltd.org/etd/vt/oai:vtechworks.lib.vt.edu:10919/101407","repository":{"repo_id":"vt","name":"Virginia Tech","base_url":"https://vtechworks.lib.vt.edu/oai/request"},"display":{"title":"The effect of learning on transient queues","abstract":"The purpose of this investigation is the examination of the transient behavior of a single-channel queue wherein the service rate, µ, is subject to manufacturing improvement (learning). The system is analyzed through the state probabilities, P<sub>n</sub>(t), n which describe the probability that there are n units in the system at time t. The state probabilities are computed as a function of time by numerical integration of the standard Birth-Death Equations on a digital computer in Fortran IV. To show the effects of learning on the system behavior, the problem is analyzed for various degrees of learning and the results compared with the same system in which no learning is present (µ=constant). An application of the above technique to multi-channel queues is explored and presented.","abstract_html":"The purpose of this investigation is the examination of the transient behavior of a single-channel queue wherein the service rate, µ, is subject to manufacturing improvement (learning). The system is analyzed through the state probabilities, P&lt;sub&gt;n&lt;/sub&gt;(t), n which describe the probability that there are n units in the system at time t. The state probabilities are computed as a function of time by numerical integration of the standard Birth-Death Equations on a digital computer in Fortran IV. To show the effects of learning on the system behavior, the problem is analyzed for various degrees of learning and the results compared with the same system in which no learning is present (µ=constant). An application of the above technique to multi-channel queues is explored and presented.","abstract_has_math":false,"creators":["Givens, John Michael"],"institution":"Virginia Polytechnic Institute","degree_name":"M.S.","degree_level":"masters","degree_discipline":"Industrial Engineering","degree_department":"Industrial Engineering","school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1968,"date_issued":"1968","date_published":"1968","updated_at":"2026-07-22T22:20:17Z","subjects":[],"languages":["en"],"rights":["In Copyright"],"rights_urls":["http://rightsstatements.org/vocab/InC/1.0/"],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/10919/101407","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.department","label":"Department","values":["Industrial Engineering"]},{"key":"dc:creator","label":"Author","values":["Givens, John Michael"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2020-12-15T19:11:27Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2020-12-15T19:11:27Z"]},{"key":"dc:date.issued","label":"Date","values":["1968"]},{"key":"dc:publisher","label":"Institution","values":["Virginia Polytechnic Institute"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"dc:type.dcmitype","label":"Dc Type Dcmitype","values":["Text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Industrial Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["masters"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.S."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Virginia Polytechnic Institute"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["In Copyright"]},{"key":"dc:rights.uri","label":"Rights URI","values":["http://rightsstatements.org/vocab/InC/1.0/"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/10919/101407"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The purpose of this investigation is the examination of the transient behavior of a single-channel queue wherein the service rate, µ, is subject to manufacturing improvement (learning). The system is analyzed through the state probabilities, P<sub>n</sub>(t), n which describe the probability that there are n units in the system at time t. The state probabilities are computed as a function of time by numerical integration of the standard Birth-Death Equations on a digital computer in Fortran IV. To show the effects of learning on the system behavior, the problem is analyzed for various degrees of learning and the results compared with the same system in which no learning is present (µ=constant). 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The state probabilities are computed as a function of time by numerical integration of the standard Birth-Death Equations on a digital computer in Fortran IV. To show the effects of learning on the system behavior, the problem is analyzed for various degrees of learning and the results compared with the same system in which no learning is present (µ=constant). 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