This paper proposes an extended queuing system that will be called the VCHS queuing system. In VCHS problems, arriving customers have jobs which are classified using two (quantitative and/or qualitative) parameters. There exist many servers that can be classified using two (quantitative and/or qualitative) parameters. We research quantitative VCHS problems (focused on quantity of job and processing speed of server) and qualitative VCHS problems (focused on quality of job and performance of server). Several strategies for server assignment were evaluated using simulations, and selection of the appropriate strategy was found to lead to a marked improvement in system performance.%待ち行列には，基本の待ち行列の他に，様々な条件を持つ待ち行列が考えられている．本稿では，一般のシステムにおいて，様々な種類の仕事（ジョブ）がシステムに到着し，システムには何種類かの能力別サーバが存在するシステム（VCHS:Various Customers，Heterogeneous Servers）の中で，ジョブの量・サーバの処理速度に焦点を当てた量的VCHS問題と，ジョブの難易度・サーバのスキルに焦点を当てた質的VCHS問題についてそれぞれシミュレーションを行い，待ち時間を特性量とした評価を行い，その結果について考察し，適切な戦略の選択は，システム性能において大きな改善に繋がることがわかった．
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