If you use more than one version of an application, you can specify the version you prefer together with a legacy version if the preferred version is not available. Use the OR (||) expression to reserve your license with an alternative license choice in the rusage string of your resource requirement.
bsub -R "rusage[token_name1=1||token_name2=1]" -Lp license_project_name job_name
You are running appA version 1.5 and appA version 2.0.1. The license key for version 2.0.1 is backward compatible with version 1.5, but the license key for version 1.5 does not work with version 2.0.1.
bsub -R "rusage[mem=20:appAv201=1||mem=20:swap=50:appAv15=1]" -Lp Lp1 myjob