待ち行列理論を用いた病院の外来患者待ち時間短縮の一提案

摘要

病院の外来患者待ち時間を短縮するために，本研究では，待ち行列理論を用いたイベント駆動型ネットワークの方法rnを利用する．そのため，まずは対象になる病院の診療科の待ち行列全体をイベント駆動型ネットワークモデブレで構築rnし，病院の総合受付の到着分布とサービス分布のモデルはM/G/sとする．次に，患者歩行速度を所与とし，診療科間rnの距離に比例して診療科間の患者の移動時間を決めた上で，患者の期待滞留時間と期待サービス時間に基づく割振りrnディスパッチングルールを提案する．その後，患者が次に受診しうる診療科の窓口が複数ある場合とない場合，さらにrn複数のとき，それらの診療科の窓口が空いている場合と空いていない場合に対して，提案ディスパッチングルールにrnよって患者をスケジューリングする．最後に数値実験を通して，患者の総待ち時間への提案の効果を検証する．%An event-driven network approach using queueing theory to reduce the waiting times of outpatients for hospital is presented in this paper. First, an object including all queueing for medical examinations and treatment departments at the hospital is built using an event-driven network model. Next, a queueing model in which the arrival distribution and service distribution are conformed as a M/G/s queue for the general reception. For the second factor, the walking speed of outpatients is given ; the travel time of outpatients is decided in direct relation to two medical examinations and the distance between the respective treatment departments. The dispatching rules assigned to each outpatient are suggested based on their expected visitation time and the expected service time necessary for each outpatient. Next, situations are assessed relative to the windows of medical examinations and treatment departments, and when outpatients have single check-ups or plural check-ups. When they are plural, the windows of medical examinations and treatment departments are either crowded or vacant. Then outpatients are scheduled using suggested dispatching rules. Subsequently, the effects of the proposed approach for dispatching rules of the total waiting time for each outpatient are verified using numerical experiments.